Heuristic analysis of convective finite difference techniques

  • L. D. Tyler
Session V 1. Shock Waves 2. Turbulence
Part of the Lecture Notes in Physics book series (LNP, volume 8)


A heuristic analysis is made of the Lax, Rusanov, Lax-Wendroff two-step and MacCormack techniques to determine truncation, stability and utility conditions for practical application of the methods. A simple artificial viscosity is introduced for compression region in the second order techniques, which reduced the overshoot at shock waves to less than 0.2% of the waves' defined strength.


Shock Wave Difference Equation Shock Front Rarefaction Wave Contact Discontinuity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hirt, C. W., Journal of Computation Physics 2, 339–355 (1968)Google Scholar
  2. 2.
    Evans, M. and Harlow, F.,LA–2139 (1957)Google Scholar
  3. 3.
    Landshoff, R., LA–1930 (1955)Google Scholar
  4. 4.
    Lapidus, A., J of Computation Physics 2, 154–177 (1967)Google Scholar
  5. 5.
    Lax, P., Comet Pure Appl Math 7, 159–193 (1954)Google Scholar
  6. 6.
    Lax, P. and Wendroff, B., Comm Pure Appl Math 13, 217–237 (1960)Google Scholar
  7. 7.
    MacCormack, R. W., AIAA Hypervelocity Impact Conference, Paper 69–354 (1969)Google Scholar
  8. 8.
    Richtmyer, R. D., NCAR Tech Note 63–2 (1962)Google Scholar
  9. 9.
    Richtmyer, R. D. and Morton, K. W., Difference Method for Initial Value Problems (1967)Google Scholar
  10. 10.
    Rusanov, V. V., USSR Computational Math and Math Physics 2, (1962)Google Scholar
  11. 11.
    Von Neumann. J. and Richtmyer, R. D., J of Applied Physics 21, 232–237 (1950)Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • L. D. Tyler
    • 1
  1. 1.Dynamic Analysis Division Sandia LaboratoryAlbuquerque

Personalised recommendations